Complete the square to transform the quadratic equation into the form (x – p)2 = q.

x2 - 6x - 8 = 6
a) (x - 6)2 = 9
b) (x - 3)2 = 23
c) (x - 6)2 = -9
d) (x - 3)2 = -23

B

Step-by-step explanation:

Given

x² - 6x - 8 = 6 ( add 8 to both sides )

x² - 6x = 14

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 3)x + 9 = 14 + 9

(x - 3)² = 23 → B

x = ± 6i

step-by-step explanation:

x^2 = -36

take the square root of each side

sqrt(x^2) = sqrt(-36)

we know sqrt(ab) = sqrt(a) sqrt(b)

x = ±sqrt(36) sqrt(-1)

we know that sqrt (-1) = i

x = ± 6i

i believe the answer is 323 ft

step-by-step explanation: